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प्रश्न
OAB is a sector of a circle with centre O and radius 7 cm. If the length of arc `bar(AB) = 22/3` cm, then ∠AOB is equal to ______.
पर्याय
`(120/7)^°`
45°
60°
30°
MCQ
रिकाम्या जागा भरा
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उत्तर
OAB is a sector of a circle with centre O and radius 7 cm. If the length of arc `bar(AB) = 22/3` cm, then ∠AOB is equal to 60°.
Explanation:
Given r = 7 cm
Length of arc = `22/3` cm
∵ Length of arc = `2πr xx θ/(360°)`
`22/3 = 2 xx 22/7 xx 7 xx θ/(360°)`
`1/3 = θ/(180°)`
θ = 60°
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